The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.
<h3>
Definitions of dimensions in ellipses</h3>
Dimensionally speaking, an ellipse is characterized by three variables:
- Length of the <em>major</em> semiaxis (
). - Length of the <em>minor</em> semiaxis (
). - Distance between the foci and the center of the ellipse (
).
And there is the following relationship:
(1)
Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (
), which is defined by the following formula:
, 
(2)
The greater the eccentricity, the more similar the ellipse to a circle.
Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity. 
To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943
Her normal hourly rate is $13 an hour, her overtime is $19.50
Answer:
Step-by-step explanation:
Given
Required
Represent using an inequality and solve
Let the number of dollars be represented by n
<em>If 1 withdrawal is $20 bill</em>
<em>n withdrawals would be $20n bills</em>
The total withdrawal and the minimum balance must be less than or equal to the available balance.
So, this gives
Substitute values for each of these
Solving for n
Divide through by 20
But n can not be decimal because it represents number of dollar bills , which must always be an integer.
So, we round down the value of n
W^2 + w - 20 = (w + 5)(w - 4)
(w - 3) (w - 4) w^2 - 7w + 12
---------- * -------- = ------------------
(w + 5) (w - 4) w^2 + w - 20
Answer:
Step-by-step explanation:
#1. For lines l and m to be parallel, angles 3 and 6 would have to add up to equal 180. This is the Same Side Interior Angle Theorem.
For #2, angles 3 and 7 are corresponding, meaning they are in the same place in both angle groups. Because of this, they are congruent. That means that they equal one another.
If angle 3 is 4x + 12 and x = 15, then angle 3 = 72.
If angle 7 is 80 - x and x = 15, then angle 7 = 65. So if this is the case, the lines l and m are not parallel. In order for them to be parallel, angle 3 has to equal angle 7:
4x + 12 = 80 - x and we solve for the value of x that will make the lines parallel:
5x = 68 so
x = 13.6
